A New System of Generalized Nonlinear Set-Valued Variational Inclusions

摘要

In this paper, a new system of generalized nonlinear set-valued variational inclusions in Banach spaces is introduced and studied. By using the resolvent operator technique for H-accretive mapping due to Fang and Huang, we construct some new iterative algorithms for approximating the solutions of the system of generalized nonlinear set-valued variational inclusions and prove the existence of the solutions for the system of generalized nonlinear set-valued variational inclusions and convergence of iterative sequences generated by the algorithm.These theorems improve, unify and generalize many known results variational inequalities and variational inclusions.